{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Demonstration of Convolution-based Simulation \n",
    "# Contact: Michael Pyrcz, University of Texas at Austin, Geostatistics Course  (Twitter: @GeostatsGuy) \n",
    "#\n",
    "# Steps:\n",
    "# 1. Make a kernel.  For this example we parameterize a simple 3 point symmetric kernel.  The default\n",
    "#    is a triangular kernel with variable width.\n",
    "# 2. Assign a random standard normal value to each model location (model is a 1D vector with 'nx' cells)\n",
    "# 3. Convolve the random array from 2. with the kernel designed in 1.\n",
    "# 4. Affine correction to standardize the convolution to have a mean of 0.0 and standard deviation of 1.0.\n",
    "# 5. Calculate the vairogram of the standardized convolution to confirm the presence and form of spatial correlation.\n",
    "#\n",
    "# Efron, 1982, The jackknife, the bootstrap, and other resampling plans, Society of Industrial and Applied Math, \n",
    "# CBMS-NSF Monographs, 38."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Imports \n",
    "import scipy\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import math\n",
    "import random as rand\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
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y/oK/qtLhIyJydRmD9wPZdrW04PXF8h28+s060k7pwJCk0tdHMqb6ereJ4aHL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\n/OdulwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f86b82e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1. Make a Kernel with User Specified Width and Shape\n",
    "\n",
    "# User Specified Parameters\n",
    "#-----------------------------\n",
    "xsiz = 10                     # cell size\n",
    "kernel_half_width = 250.0     # extend of filter in half width\n",
    "kernel_edge_height = 0.0      # value of the filter at the edge\n",
    "kernel_center_height = 1.0    # value of the filter in the middle\n",
    "#-----------------------------\n",
    "\n",
    "# Simple 3 point symmetric piecewise linear filter\n",
    "x = np.zeros(3); y = np.zeros(3)\n",
    "x[0] = -1.0 * kernel_half_width; x[1] =  0.0; x[2] = 1.0 * kernel_half_width\n",
    "y[0] = kernel_edge_height; y[1] = kernel_center_height; y[2] = kernel_edge_height\n",
    "\n",
    "# Axis for the filter\n",
    "nkernel = round((kernel_half_width*2.0)/xsiz)\n",
    "xkernel_array = np.zeros(nkernel)\n",
    "farray = np.zeros(nkernel)\n",
    "xmn = -1.0*round(nkernel/2.0)*xsiz + xsiz*0.5\n",
    "for ikernel in range(0, nkernel):\n",
    "    x_value = xmn + ikernel * xsiz\n",
    "    xkernel_array[ikernel] = x_value\n",
    "    \n",
    "# Filter with linear interpolation method   \n",
    "akernel = np.interp(xkernel_array,x,y)\n",
    "\n",
    "#Plot filter\n",
    "#plt.clf()\n",
    "fig_kernel = plt.figure(); ax = plt.axes()\n",
    "ax.plot(xkernel_array, akernel);\n",
    "plt.title(\"Kernel - User Defined Piecewise Linear Filter\"); plt.xlabel(\"x (m)\"); plt.ylabel(\"Weight\"); plt.show()    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Random N[0,1] Mean =  0.000474769959816\n",
      "Random N[0,1] Standard Deviation =  1.0060336785\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f941dc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0YYj+Gcl0J1IhkpQyLqV8P4C/BnCxEOJ9xmuEEFcKISqEEBXd3d35LyQhhJCigftIQoob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\n2Zqeuh2Pfr7ssLsbfOBaU1H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d+MGz/n0gAUD92SHct+EkfvriIU97lp8sqcBT23ODAxkx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4anlBV0Hju/D8+89AY+/7M/ZL5wTKx8eOPPhmmd+N6jfxbuVKKn++ZgZ5dO81A5XWit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\niIwgCEKdynQKN20PVxNgTl8rfnzZKnTFE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      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f941d780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#2. Assign a random standard normal value to each location in the 1D model of size nx \n",
    "\n",
    "# User Specified Parameters\n",
    "#-----------------------------\n",
    "nx = 5000                     # model size in number of cells                   \n",
    "#-----------------------------\n",
    "\n",
    "# Axis for the model   \n",
    "xmodel_array = np.zeros(nx)\n",
    "xmodel_mn = xsiz*0.5 \n",
    "for ix in range(0, nx):\n",
    "    x_value = xmodel_mn + ix * xsiz\n",
    "    xmodel_array[ix] = x_value\n",
    "\n",
    "# Assign random standard normal values \n",
    "random_array = np.random.normal(0.0,1.0,nx)\n",
    "\n",
    "random_mean = np.mean(random_array)\n",
    "random_std = np.std(random_array)\n",
    "print('Random N[0,1] Mean = ', random_mean)\n",
    "print('Random N[0,1] Standard Deviation = ', random_std)\n",
    "\n",
    "# Plot the random array\n",
    "plt.clf()\n",
    "fig_random_normal = plt.figure(figsize=(20,5)); ax = plt.axes()\n",
    "ax.plot(xmodel_array,random_array);\n",
    "plt.title(\"Random Standard Normal Field\"); plt.xlabel(\"x (m)\"); plt.ylabel(\"Value\");\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial Mean =  0.0124255082818\n",
      "Initial Standard Deviation =  4.21172472102\n"
     ]
    },
    {
     "data": {
      "image/png": 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sqv5tlbzSE/It5p6VgIMJcF25xHQQJXHlvIzFohopMNV10y+NE/+nTnIuOw0D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5AAAg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      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f988c128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#3. Convolve the vector of random standard normal values with the filter\n",
    "\n",
    "model_array = np.convolve(random_array,akernel,'same')\n",
    "\n",
    "initial_mean = np.mean(model_array); initial_std = np.std(model_array)\n",
    "print('Initial Mean = ', initial_mean); print('Initial Standard Deviation = ', initial_std)\n",
    "\n",
    "fig_model = plt.figure(figsize=(20,5)); ax = plt.axes()\n",
    "ax.plot(xmodel_array,model_array);\n",
    "plt.title(\"Correlated Random Field\"); plt.xlabel(\"x (m)\");plt.ylabel(\"Value\");\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Normalized Mean =  -1.13686837722e-17\n",
      "Normalized Standard Deviation =  1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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2whFwwMlESkPnJoLYKbYTKVhEKmlyooty4QoqeARlVZrsZsgNo/WUswHJn+DX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90JKLyKhGg+Kq9traPbkKVkOUe9nN++ygKrWOb+UxvM7xE9gF5qeiTSes9Es6wmMyZLcrB3EQUh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f96b0cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#4. Affine correction of the convolution \n",
    "\n",
    "norm_model_array = np.zeros(nx)\n",
    "for ix in range(0, nx):\n",
    "    norm_model_array[ix] = (1.0 / initial_std)*(model_array[ix]-initial_mean)\n",
    "  \n",
    "norm_mean = np.mean(norm_model_array); norm_std = np.std(norm_model_array)\n",
    "print('Normalized Mean = ', norm_mean); print('Normalized Standard Deviation = ', norm_std)\n",
    "\n",
    "fig_norm_model = plt.figure(figsize=(20,5)); ax = plt.axes()\n",
    "ax.plot(xmodel_array,norm_model_array);\n",
    "plt.title(\"Normalized Correlated Random Field\"); plt.xlabel(\"x (m)\");plt.ylabel(\"Value\");\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Approximate Range (Earliest Approach of the Sill) =  380.0\n",
      "Filter Width =  500.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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LEeJuj4e/PYcXfs6m4n+EEEJGpZKmLjR3KTE33H3EY+eGeaC6TY6adrkFRjYxdfSocOfn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\nJEmSJElSX/4HJi+H6JDiFpsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x157f93feba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 5. Calculate and plot the vairogram for the normalized correlated random field\n",
    "    \n",
    "nlags = int(nx*0.5)\n",
    "\n",
    "pairs = np.zeros(nlags)\n",
    "variogram = np.zeros(nlags)\n",
    "lags = np.zeros(nlags)\n",
    "\n",
    "for ilags in range(0, nlags):\n",
    "    pairs[ilags] = 0\n",
    "    variogram[ilag] = 0\n",
    "\n",
    "for itail in range(0, nx):\n",
    "    for ihead in range(itail,nx):\n",
    "        ilag = ihead - itail\n",
    "        if ilag < nlags:\n",
    "            variogram[ilag] = variogram[ilag] + (norm_model_array[ihead] - norm_model_array[itail])**2.0\n",
    "            pairs[ilag] = pairs[ilag] + 1.0\n",
    " \n",
    "approx_range = 0.0\n",
    "for ilags in range(0, nlags):\n",
    "    lags[ilags] = ilags * xsiz\n",
    "    variogram[ilags] = variogram[ilags] / (2.0*pairs[ilags])\n",
    "    \n",
    "for ilags in range(0, nlags):\n",
    "    if variogram[ilags] > 0.95:\n",
    "        approx_range = lags[ilags]\n",
    "        break\n",
    "\n",
    "print(\"Approximate Range (Earliest Approach of the Sill) = \", approx_range)\n",
    "print(\"Filter Width = \", filter_half_width*2.0)\n",
    "\n",
    "fig_var_func = plt.figure(figsize=(20,5)); ax = plt.axes()\n",
    "ax.plot(lags,variogram); ax.plot([0,25000],[1.0,1.0])\n",
    "plt.title(\"Variogram\"); plt.xlabel(\"lag (m)\");plt.ylabel(r'$\\gamma(h)$');\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# What did we learn?\n",
    "# 1. It is possible to calculate an unconditional spatially correlated random function from a random (N[0,1]) vector  \n",
    "#    convolved with a filter window.  In simplier terms applying moving window average (with a weighting function over \n",
    "#    the window).\n",
    "# 2. The shape of the resulting experimental variogram depends on the shape of the filter.  For a triangular filter the \n",
    "#    resulting experimental has a 1D spherical equivalent shape.  \n",
    "# 3. The range is the width of the filter, since no information is shared at lag distances wider than the filter.\n",
    "#\n",
    "# References:\n",
    "#\n",
    "# Yarlagadda, R.K.R., 2010, Analog and digital signals and systems, Springer, 540 p.\n",
    "#"
   ]
  }
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